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Finding the Fourth Proportional to 2,813.77, 3,882.99 and 1,571.77

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Solution

The fourth proportional to 2,813.77, 3,882.99 and 1,571.77 is: 2,169.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.77 : 3,882.99 = 1,571.77 : x
  2. Step 2: Convert to fraction form
    2,813.77/3,882.99 = 1,571.77/x
  3. Step 3: Cross multiply
    2,813.77x = 3,882.99 × 1,571.77
  4. Step 4: Simplify right side
    2,813.77x = 6,103,177.94
  5. Step 5: Solve for x
    x = 6,103,177.94/2,813.77
  6. Step 6: Final answer
    x = 2,169.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.